Apéry-like numbers and families of newforms with complex multiplication

DOI10.1007/s40993-018-0145-7zbMath1456.11053arXiv1807.03883OpenAlexW2962845187WikidataQ114218123 ScholiaQ114218123MaRDI QIDQ2316320

Dylan Young, Alexis Gomez, Dermot McCarthy

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03883

zbMATH Keywords

complex multiplicationHecke charactersApéry-like sequences

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)

Related Items (3)

Generalized Paley graphs and their complete subgraphs of orders three and four ⋮ Jacobi forms with CM and applications ⋮ On three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divisibility properties of sporadic Apéry-like numbers
• Supercongruences for Apéry-like numbers
• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• On Dwork's accessory parameter problem
• Sporadic sequences, modular forms and new series for \(1/\pi\)
• Irrationality proofs for zeta values, moduli spaces and dinner parties
• Supercongruences for sporadic sequences
• CONGRUENCES RELATED TO MODULAR FORMS
• A Note on the Irrationality of ζ(2) and ζ(3)
• Arithmetic properties of Apéry-like numbers
• A Gaussian hypergeometric series evaluation and Apéry number congruences
• Congruences via modular forms
• Sequences, modular forms and cellular integrals
• CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS

This page was built for publication: Apéry-like numbers and families of newforms with complex multiplication